Simplify each expression. Assume that no denominator equals zero

7-2 Division Properties of Exponents
Simplify each expression. Assume that no denominator equals zero.
19. ANSWER: 2
mp
21. ANSWER: 23. ANSWER: 25. ANSWER: 27. ANSWER: 2 7
a b c
29. ANSWER: 31. ANSWER: 1
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33. Page 1
ANSWER: 7-2 Division Properties of Exponents
31. ANSWER: 1
33. ANSWER: 35. ANSWER: 37. ANSWER: 2
2
k mp
39. ANSWER: 41. ANSWER: 43. INTERNET In a recent year, there were approximately 3.95 million Internet hosts. Suppose there were 208 million
Internet users. Determine the order of magnitude for the Internet hosts and Internet users. Using the orders of
magnitude, how many Internet users were there compared to Internet hosts?
ANSWER: 6
8
2
10 ; 10 ; about 10 or 100 times as many users as hosts
Simplify each expression. Assume that no denominator equals zero.
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45. ANSWER: Page 2
Internet users. Determine the order of magnitude for the Internet hosts and Internet users. Using the orders of
magnitude, how many Internet users were there compared to Internet hosts?
ANSWER: 7-2 Division Properties of Exponents
6
8
2
10 ; 10 ; about 10 or 100 times as many users as hosts
Simplify each expression. Assume that no denominator equals zero.
45. ANSWER: 47. ANSWER: 1600k
13
49. ANSWER: 51. ANSWER: 53. ANSWER: 55. ANSWER: 8
57. CCSS SENSE-MAKING The processing speed of an older computer is about 10 instructions per second. BA
10
new computer can process about 10
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the older
ANSWER: 100
instructions per second. The newer computer is how many times as fast as
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ANSWER: 7-2 Division Properties of Exponents
8
57. CCSS SENSE-MAKING The processing speed of an older computer is about 10 instructions per second. BA
10
new computer can process about 10
the older one?
instructions per second. The newer computer is how many times as fast as
ANSWER: 100
59. PROBABILITY The probability of rolling a die and getting a 3 is
getting a 3 both times is
or . If you roll the die twice, the probability of
.
a. Write an expression to represent the probability of rolling a die d times and getting a 3 each time.
b. Write the expression as a power of 6.
ANSWER: a. b. 6−d
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